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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#87571#4900. 数列重排bear013190 172ms14012kbC++113.6kb2023-03-13 18:43:232023-03-13 18:43:26

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-13 18:43:26]
  • 评测
  • 测评结果:90
  • 用时:172ms
  • 内存:14012kb
  • [2023-03-13 18:43:23]
  • 提交

answer

#include<bits/stdc++.h>
#define rep(i, n) for(int i = 0; i < n; ++i)
using namespace std;
typedef long long ll;
typedef vector<int> vi;
const int Mod = 998244353;
inline int sign(int a){ return a&1 ? Mod-1 : 1; }
inline void uadd(int &a, int b){ a += b-Mod; a += (a>>31) & Mod; }
inline void usub(int &a, int b){ a -= b; a += (a>>31) & Mod; }
inline void umul(int &a, int b){ a = (int)(1ll*a*b % Mod); }
inline int add(int a, int b){ return (a+b >= Mod) ? a+b-Mod : a+b; }
inline int sub(int a, int b){ return (a-b < 0) ? a-b+Mod : a-b; }
inline int mul(int a, int b){ return (int)(1ll*a*b % Mod); }
int qpow(int b, ll p){ int ret = 1; while(p){ if(p&1) umul(ret, b); umul(b, b), p >>= 1; } return ret; }

/////////////////////////////////////////////////////////////////////////////////////////////////////////

int m, l, r, X;
int n;
ll N;
string str;
int presum[10000100];

int main(){
	//freopen("seq.in", "r", stdin);
	//freopen("seq.out", "w", stdout);
	ios::sync_with_stdio(false);

	cin >> m >> l >> r >> X >> str;
	rep(i, m)
		presum[i+1] = presum[i] + (str[i] == '1');
	n = m * X + presum[m];
	N = 1ll * n * (n+1) / 2;
	bool all1 = 1;
	ll has = 0;
	int res = 0, pw = 1;
	for(int i = 0; i < l; ++i){
		all1 &= (str[i] == '1'), has += X + (str[i] == '1');
		umul(pw, 233);
	}
	for(int i = l; i <= r; ++i){
		ll ans;
		if(i == 0)
			ans = N;
		else {
			int x = X + all1;
			ll S = n - has;
			ans = 1ll * i * (i-1) * (x-1) + 1ll * i * (i+1) / 2 - 1;
			//cout << ans << endl;
			if(!all1)
				ans += 1ll * presum[i] * (i-1); // presum[i+1]  ->  presum[i]
			//cout << ans << endl;
			
			ans += 2ll * S * (i-1);
			//cout << ans << endl;

			ll val = (S + 1ll * (x-1) * (i-1)) / (x+1);
			//cout << " " << S << ": " << val << " " << ans << endl;
			if(x == 1){
				ll rval = S - val;
				ans += 1ll * val * (val+1) / 2 + 1ll * rval * (rval+1) / 2;
				ans -= 1ll * (i-1) * (val + rval);
			} else {
				if(S <= val + val)
					val = S / 2;
				ll nS = S - val - val;
				ll nans = ans, pans = ans; ans = N+10; // add pans to recover nans
				
				nans += 1ll * val * (val+1) / 2 + 1ll * val * (val+1) / 2;
				ll nval0 = nS / (x-1), nval1 = (nS + (x-1) - 1) / (x-1), c1 = nS % (x-1);
				nans += 1ll * nval0 * (nval0+1) / 2 * (x-1 - c1);
				nans += 1ll * nval1 * (nval1+1) / 2 * (c1);
				nans -= 1ll * (i-1) * (val + val);
				//cout << "   " << val << " " << val << ": " << nans << "\n";
				ans = min(ans, nans);
				
				if(val + val+1 <= S){
					nans = pans;
					nS = S - val - (val+1);
					nans += 1ll * val * (val+1) / 2 + 1ll * (val+1) * ((val+1)+1) / 2;
					nval0 = nS / (x-1), nval1 = (nS + (x-1) - 1) / (x-1), c1 = nS % (x-1);
					nans += 1ll * nval0 * (nval0+1) / 2 * (x-1 - c1);
					nans += 1ll * nval1 * (nval1+1) / 2 * (c1);
					nans -= 1ll * (i-1) * (val + (val+1));
					//cout << "   " << val << " " << val+1 << ": " << nans << "\n";
					ans = min(ans, nans);
				}
				
				if(val+1 + val+1 <= S){
					nans = pans;
					nS = S - (val+1) - (val+1);
					nans += 1ll * (val+1) * ((val+1)+1) / 2 + 1ll * (val+1) * ((val+1)+1) / 2;
					nval0 = nS / (x-1), nval1 = (nS + (x-1) - 1) / (x-1), c1 = nS % (x-1);
					nans += 1ll * nval0 * (nval0+1) / 2 * (x-1 - c1);
					nans += 1ll * nval1 * (nval1+1) / 2 * (c1);
					nans -= 1ll * (i-1) * ((val+1) + (val+1));
					//cout << "   " << val+1 << " " << val+1 << ": " << nans << "\n";
					ans = min(ans, nans);
				}
			}

			ans = N - ans;
		}
		
		//cout << i << ": " << ans << endl;
		res ^= mul(pw, (int)(ans % Mod));
		umul(pw, 233);
		has += X + (str[i] == '1'), all1 &= (str[i] == '1');
	}
	cout << res << "\n";
	
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 0ms
memory: 3284kb

input:

2 0 2 2
01

output:

541257

result:

ok 1 number(s): "541257"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3264kb

input:

4 1 4 2
00001

output:

525797597

result:

ok 1 number(s): "525797597"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3284kb

input:

9 0 9 1
000000000

output:

711136343

result:

ok 1 number(s): "711136343"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3264kb

input:

1 0 1 9
0

output:

10456

result:

ok 1 number(s): "10456"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3440kb

input:

2 1 2 3
11


output:

1518844

result:

ok 1 number(s): "1518844"

Subtask #2:

score: 15
Accepted

Dependency #1:

100%
Accepted

Test #6:

score: 15
Accepted
time: 0ms
memory: 3420kb

input:

21 0 21 9
111010011100100100000

output:

171658329

result:

ok 1 number(s): "171658329"

Test #7:

score: 0
Accepted
time: 2ms
memory: 3208kb

input:

200 0 200 1
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

output:

287932632

result:

ok 1 number(s): "287932632"

Test #8:

score: 0
Accepted
time: 2ms
memory: 3260kb

input:

120 3 119 1
101000110101001100011100001011101110101010000011101110010101101000111100111100001001010010110001110011001010110001101111

output:

856785458

result:

ok 1 number(s): "856785458"

Test #9:

score: 0
Accepted
time: 2ms
memory: 3416kb

input:

2 0 2 99
10

output:

67513337

result:

ok 1 number(s): "67513337"

Subtask #3:

score: 15
Accepted

Dependency #2:

100%
Accepted

Test #10:

score: 15
Accepted
time: 2ms
memory: 3328kb

input:

10 1 9 499
0110011010

output:

47418354

result:

ok 1 number(s): "47418354"

Test #11:

score: 0
Accepted
time: 2ms
memory: 3204kb

input:

100 0 100 49
1100100011111101111111001000000100010000101010110000011011110100100011111000111101100010001000001100

output:

100314042

result:

ok 1 number(s): "100314042"

Test #12:

score: 0
Accepted
time: 2ms
memory: 3452kb

input:

1000 0 1000 4
1011110001101000100110000111011110101100110011100010001100001101000111100011100011110101000010000100101011010110000110100011011010011000111100100100100001000011001000000000111001010001000000110001001011100010011101010011011110001101000010010000101000100001111101001100100001010010001100...

output:

738329201

result:

ok 1 number(s): "738329201"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3476kb

input:

5000 0 5000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

76076468

result:

ok 1 number(s): "76076468"

Subtask #4:

score: 5
Accepted

Test #14:

score: 5
Accepted
time: 2ms
memory: 3376kb

input:

2 0 1 114514
10

output:

934764137

result:

ok 1 number(s): "934764137"

Test #15:

score: 0
Accepted
time: 2ms
memory: 3328kb

input:

2 0 1 1919810
01

output:

685371514

result:

ok 1 number(s): "685371514"

Test #16:

score: 0
Accepted
time: 2ms
memory: 3188kb

input:

2 0 1 500000000
00

output:

318651831

result:

ok 1 number(s): "318651831"

Subtask #5:

score: 10
Accepted

Test #17:

score: 10
Accepted
time: 4ms
memory: 8408kb

input:

1000000 1000000 1000000 928
01100010010000000101111110001111011101111000011110100101011110011001001000011000110101101100111110000100101010111001111100010011100110000000111110110100001100000000011101100001010001010000010000001001000110011111010101111100001001110110010100000011000010010001111010011100...

output:

437299311

result:

ok 1 number(s): "437299311"

Test #18:

score: 0
Accepted
time: 2ms
memory: 3268kb

input:

100 100 100 10000000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

output:

119118463

result:

ok 1 number(s): "119118463"

Subtask #6:

score: 10
Accepted

Test #19:

score: 10
Accepted
time: 23ms
memory: 8648kb

input:

1000000 0 1000000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

852768823

result:

ok 1 number(s): "852768823"

Test #20:

score: 0
Accepted
time: 31ms
memory: 9440kb

input:

1000000 0 1000000 1
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

852768823

result:

ok 1 number(s): "852768823"

Subtask #7:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 5ms
memory: 9928kb

input:

1000000 0 9823 627
01110001011101001100010011100101001011000011011110001101010000000101010111110111110010010001110100101001111000111100011101111001000000100111000010010100010101110110111110100010101010001110111001100011010001111000101010000110010010101110101010111110110001110111111000001110000110011...

output:

383638431

result:

ok 1 number(s): "383638431"

Test #22:

score: 0
Accepted
time: 3ms
memory: 8812kb

input:

1000000 456755 465755 982
0100111111100111100010100011110111111101011111101110010011101011110011111010110000110001101001011101000110111100110100101111101011111010101011101000011101100000000111000010101011011000111010101101111011100101010010000110101011110010101011111101110101100010000100001110000100...

output:

982882798

result:

ok 1 number(s): "982882798"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3328kb

input:

1000 0 1000 999999
11101000001100101110100011011111010000110101000000010101111010110110100110000001101110100011010111001000000010110101110001010111101000100010010010110000000001011110010010101111110000100001000111000010110001100100011100001000111001110110001010100000110110000110001111101101000010111...

output:

337235666

result:

ok 1 number(s): "337235666"

Test #24:

score: 0
Accepted
time: 4ms
memory: 9920kb

input:

1000000 990001 1000000 999
110110000110101111001000001001011000010000101001111110001101100011001001111001010001110110010111110100000101110000101101000111001100010100010100001001001011011100001010111100110110011001110010001110011001111100011001100111110000111011011100100100011111101100011000100011011...

output:

794028825

result:

ok 1 number(s): "794028825"

Subtask #8:

score: 15
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Dependency #6:

100%
Accepted

Dependency #7:

100%
Accepted

Test #25:

score: 15
Accepted
time: 85ms
memory: 8784kb

input:

1000000 1 999999 632
111111100000011110001111101100010010111100000010101111111001010001101011101110001010010101001000111110101010100010011001101111011111011000011111011100101011110011000100100110111100101010000110010011110010111011001011001001001111000100000011101001100011011001100100011010000010100...

output:

610044514

result:

ok 1 number(s): "610044514"

Test #26:

score: 0
Accepted
time: 89ms
memory: 8596kb

input:

1000000 0 1000000 888
11011001110110111010100110110001000101110100001111110000011110101010110001100101010001110101010111001110100000110101000000011001111100100000010101100000011100110001011010110100001100111010100111011000110100100101110010100001100100000101000001101011010111001000101001110001111000...

output:

255140225

result:

ok 1 number(s): "255140225"

Test #27:

score: 0
Accepted
time: 77ms
memory: 9136kb

input:

1000000 0 1000000 1000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

1066353724

result:

ok 1 number(s): "1066353724"

Test #28:

score: 0
Accepted
time: 2ms
memory: 3412kb

input:

100 0 100 9999999
1000101010111010100001001100001001100101000000111000000000111010000000000000101001110011001000111011

output:

583823543

result:

ok 1 number(s): "583823543"

Test #29:

score: 0
Accepted
time: 172ms
memory: 14012kb

input:

2000000 0 2000000 499
11100010011000101100101001000010010011110000000110011101001000100010101101010001011001001011100000111010100110011111001100100101000001000010010000000000011111011100100100110001110011101100110101001011011101001111010100010011001101111110110100010011110111010110100000101100101100...

output:

356463868

result:

ok 1 number(s): "356463868"

Test #30:

score: 0
Accepted
time: 170ms
memory: 13776kb

input:

2000000 0 2000000 499
00010101111100001110110010101100100111001010011100011011001100101001001111110001010011100000001101010001111000000010111011111110111010111010010010000011011110001110010000000000110000101110110101010011101101011001011001011110100010101000000011010100010010101000010111101110000111...

output:

111807544

result:

ok 1 number(s): "111807544"

Subtask #9:

score: 0
Time Limit Exceeded

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Dependency #6:

100%
Accepted

Dependency #7:

100%
Accepted

Dependency #8:

100%
Accepted

Test #31:

score: 0
Time Limit Exceeded

input:

10000000 0 10000000 99
0011100100001001101101010011001111100000001110100000000100110100110110111110010010001001100100000111111100111100001110101001011101000101001001001010001011110101001101011001110011100011010101001101001111000010110011010000011011110110100001001101110111101101010011010011111111011...

output:


result: